At a temperature of 314 K and a pressure of 100 kPa, the speed of sound in a gas is `1380 ms^(-1)`. The radius of each gas molecule is `0.5 overset @A`. The frequency of sound at which the wavelength of sound wave in the gas becomes equal to the mean free path of the gas molecules is (Boltzman Constant `=1.38 xx 10^(-23) JK^(-1)`

Options

A. 1000 MHz
B. `1000 sqrt 2 MHz`
C. `frac(1000)(sqrt 2) MHz`
D. `500 MHz`